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Finding the Fourth Proportional to 9,579.40, 13,219.14 and 5,802.52

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Solution

The fourth proportional to 9,579.40, 13,219.14 and 5,802.52 is: 8,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.40 : 13,219.14 = 5,802.52 : x
  2. Step 2: Convert to fraction form
    9,579.40/13,219.14 = 5,802.52/x
  3. Step 3: Cross multiply
    9,579.40x = 13,219.14 × 5,802.52
  4. Step 4: Simplify right side
    9,579.40x = 76,704,324.23
  5. Step 5: Solve for x
    x = 76,704,324.23/9,579.40
  6. Step 6: Final answer
    x = 8,007.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.